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Finding the Fourth Proportional to 8,670.09, 13,005.14 and 6,949.65

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Solution

The fourth proportional to 8,670.09, 13,005.14 and 6,949.65 is: 10,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.09 : 13,005.14 = 6,949.65 : x
  2. Step 2: Convert to fraction form
    8,670.09/13,005.14 = 6,949.65/x
  3. Step 3: Cross multiply
    8,670.09x = 13,005.14 × 6,949.65
  4. Step 4: Simplify right side
    8,670.09x = 90,381,136.45
  5. Step 5: Solve for x
    x = 90,381,136.45/8,670.09
  6. Step 6: Final answer
    x = 10,424.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.